Fiber cobordism and the index of a family of elliptic differential operators
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- Bull. Amer. Math. Soc. 72 (1966), 984-991
References
- M. F. Atiyah and I. M. Singer, The index of elliptic operators on compact manifolds, Bull. Amer. Math. Soc. 69 (1963), 422–433. MR 157392, DOI 10.1090/S0002-9904-1963-10957-X
- Armand Borel and Jean-Pierre Serre, Le théorème de Riemann-Roch, Bull. Soc. Math. France 86 (1958), 97–136 (French). MR 116022, DOI 10.24033/bsmf.1500 3. H. Cartan and L. Schwartz, Séminaire E. N. S. Théorème d’Atiyah-Singer sur l’indice d’un operateur differential elliptique, (1963-1964).
- P. E. Conner and E. E. Floyd, Differentiable periodic maps, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 33, Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg, 1964. MR 0176478
- F. Hirzebruch, Neue topologische Methoden in der algebraischen Geometrie, Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Heft 9, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1956 (German). MR 0082174
- Luc Illusie, Complexes quasi-acycliques directs de fibrés banachiques, C. R. Acad. Sci. Paris 260 (1965), 6499–6502 (French). MR 185608 7. K. Janich, Vektorraumbuendel und der Raum der Fredholm Operatoren, Doctoral Dissertation, Universität Bonn, Germany.
- S. P. Novikov, The homotopy and topological invariance of certain rational Pontrjagin classes, Dokl. Akad. Nauk SSSR 162 (1965), 1248–1251 (Russian). MR 0180989
- Richard S. Palais, Seminar on the Atiyah-Singer index theorem, Annals of Mathematics Studies, No. 57, Princeton University Press, Princeton, N.J., 1965. With contributions by M. F. Atiyah, A. Borel, E. E. Floyd, R. T. Seeley, W. Shih and R. Solovay. MR 0198494, DOI 10.1515/9781400882045
- R. T. Seeley, Integro-differential operators on vector bundles, Trans. Amer. Math. Soc. 117 (1965), 167–204. MR 173174, DOI 10.1090/S0002-9947-1965-0173174-1 11. Weishu Shih, Séminaire de topologie, Institut de Mathematiques, Lille, France, 1964.
- Weishu Shih, Caractérisation axiomatique du théorème de Riemann-Roch différentiable, C. R. Acad. Sci. Paris 261 (1965), 863–866 (French). MR 189066 13. I. M. Singer, Lecture on index theorem, Massachusetts Institute of Technology, Cambridge, Mass., 1965.
- René Thom, Quelques propriétés globales des variétés différentiables, Comment. Math. Helv. 28 (1954), 17–86 (French). MR 61823, DOI 10.1007/BF02566923
Additional Information
- Journal: Bull. Amer. Math. Soc. 72 (1966), 984-991
- DOI: https://doi.org/10.1090/S0002-9904-1966-11612-9
- MathSciNet review: 0206988